Hamiltonian 2-forms in Kahler geometry, I General Theory
| dc.creator | Apostolov, Vestislav | |
| dc.creator | Calderbank, David M. J. | |
| dc.creator | Gauduchon, Paul | |
| dc.date | 2002-02-26 | |
| dc.date | 2004-01-23 | |
| dc.date.accessioned | 2026-07-07T06:29:37Z | |
| dc.date.available | 2026-07-07T06:29:37Z | |
| dc.description | We introduce the notion of a hamiltonian 2-form on a Kaehler manifold and obtain a complete local classification. This notion appears to play a pivotal role in several aspects of Kaehler geometry. In particular, on any Kaehler manifold with co-closed Bochner tensor, the (suitably normalized) Ricci form is hamiltonian, and this leads to an explicit description of these Kaehler metrics, which we call weakly Bochner-flat. Hamiltonian 2-forms draw attention to a general construction of Kaehler metrics which interpolates between toric geometry and Calabi-like constructions of metrics on (projective) line bundles. They also arise on conformally-Einstein Kaehler manifolds. We explore these connections and ramifications. | |
| dc.description | LaTeX, 41 pages; updated to improve exposition and coherence with part II (math.DG/0401320) | |
| dc.identifier | https://arxiv.org/abs/math/0202280 | |
| dc.identifier | http://arxiv.org/abs/math/0202280 | |
| dc.identifier | J. Diff. Geom. 73 (2006) 359-412. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98098 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53C55; 53C25, 53B35 | |
| dc.title | Hamiltonian 2-forms in Kahler geometry, I General Theory | |
| dc.type | text |